I’m serving dairy coffee to my guests before my meat Shabbat meal. Is this a problem?

I'm hosting a chabas meal and until all the guests arrive I serve coffee with we're ready to start the meal going to wash for hamotzi going to have meat is this a problem does there have to be any break between the milk and the meat in general we know that from meat to milk we wait 6 hours or 3 hours or whatever our custom is from milk to meat there is no official amount of time that you have to wait one does need to clean out their mouth you're supposed to take a drink and eat something in between so here if you're going to be eating Kal and having some wine for KES in between that would serve this purpose you could then go from the milk to the meat because you drank some wine and you ate some bread in between in this case they would say a on the cafe for the Kish there is a custom somehow to wait an hour or to wait a half an hour this is brought down from a z says you should wait like an hour some understand like an hour to mean a half hour and some don't have that custom at all